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Finding the Fourth Proportional to 2,068.51, 3,103.07 and 681.39

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Solution

The fourth proportional to 2,068.51, 3,103.07 and 681.39 is: 1,022.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.51 : 3,103.07 = 681.39 : x
  2. Step 2: Convert to fraction form
    2,068.51/3,103.07 = 681.39/x
  3. Step 3: Cross multiply
    2,068.51x = 3,103.07 × 681.39
  4. Step 4: Simplify right side
    2,068.51x = 2,114,400.87
  5. Step 5: Solve for x
    x = 2,114,400.87/2,068.51
  6. Step 6: Final answer
    x = 1,022.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.